On the Problem of Optimizing Parallel Programs for Complex Memory Hierarchies

Based on a thorough study of the relationship between array element accesses and loop indices of the nested loop, a method is presented with which the staggering relation and the compacting relation between the threads of the nested loop (either with a single linear function or with multiple linear functions) can be determined at compile-time,and accordingly the nested loop (either perfectly nested one or imperfectly nested one)can be restructured to avoid the thrashing problem. Due to its simplicity, our m…